Sadly knowing company name will not help much.
1. Ask hosting company support foe exact directory where you should send files via ftp.
2. Unzip quickstart and upload them to pointed directory via ftp
3. Setup clean database via cPanel (or any other solution hosting company provides) - you will need 4 informations: data base name, user, password and host. If you cant find where to create database, please ask hosting company support.
4. With all above completed, access your site online and run installation providing data for database.